Which equation represents a line that passes through (-2,4) and has a slope of 2/5?

Answer:

The fourth and last answer is correct

Step-by-step explanation:

For the fourth one you have an exponent of an exponent, the base stays the same and the exponents get to be multiplied.

6^-1^16

For the last one both -8 x -2 and 8 x 2 equal 16.

Step-by-step explanation:

First find the slope with the equation y/x

80/50=8/5 (you want this in fraction form)

y-80=8/5(x-50)

y-80=8/5x-80

y=8/5x+0

the y-intercept is zero (so place a dot at the origin)

next, go up 8 values and then 5 to the right (5,8), continue to do this process until you have enough points to graph a line. (10,16), (15,24), (20,32)

Hope this helps!

Answer:

b = 70

b = a = 70

b = c = 70

Step-by-step explanation:

snice b and 70 are opposite the top; they are equal.

b and a are alternate internal they are again equal so a is 70.

and finally a is equal with c because they are opposite at the top.

I hope I helped you! :)))

Answer:

The sum of interior angles of a triangle is 180°

In a right triangle, one of the three angles is 90°.  Therefore, the sum of the other two angles is 90°.

Let a = one unknown angle

Let b = the other unknown angle

As the sum of the angles is 90°:

⇒ a + b = 90°

As the difference between the two angles is 20°:

⇒ a - b = 20°

Rewriting the first equation to make a the subject:

⇒ a = 90° - b

Substituting this into the second equation and solving for b:

⇒ 90° - b - b = 20°

⇒ 90° -2b = 20°

⇒ 70° = 2b

⇒ b = 35°

Substituting found value for b into  a = 90° - b  and solving for a:

⇒ a = 90° - 35°

⇒ a = 55°

Therefore, the two unknown angles are 35° and 55°

Answer:

A × B = 60100

Step-by-step explanation:

B = 100

A = ?

A - 78 = 679

A = 679 - 78

A = 601

A×B=601×100

=60100

Answer:

Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form ax=by . To solve exponential equations with the same base, use the property of equality of exponential functions

Using the volume of a rectangular prism, it is found that Marcus shipped 2040 in³ of the boxes.

The volume of a rectangular prism of lenght l, width w and height h is given by:

V = lwh.

Prism 1 has dimensions of h = 10, l = 20, w = 7, hence it's volume in cubic inches is given by:

V1 = 20 x 10 x 7 = 1400 in³.

Prism 2 has dimensions of h = 4, l = 20, w = 4, hence it's volume in cubic inches is given by:

V2 = 20 x 4 x 4 = 320 in³.

Marcus shipped 1 of the larger boxes and 2 of the smaller boxes, hence the total volume is of:

V = V1 + 2V2 = 1400 + 2 x 320 = 2040 in³.

More can be learned about the volume of a rectangular prism at https://brainly.com/question/17223528

Answer:

y = [tex]\frac{4}{5}[/tex] x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{4}{5}[/tex] and c = 0 , thus

y = [tex]\frac{4}{5}[/tex] x ← equation of line

The surface area of the cylinderical tunnel needed to purchase the protective coating is 452.16cm².

Your information is incomplete. Therefore, an overview of the surface area of a cylindrical tunnel will be given.

Let's assume that the radius is 4cm and the height is 7cm. The surface area of the tunnel will be:

= πr²h + 2πr²

= (3.14 × 4² × 7) + (2 × 3.14 × 4²)

= 351.68cm + 100.48cm

= 452.16cm²

In conclusion, the surface area is 452.16cm².

Learn more about surface area on:

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Answer: 9 subtracted from y and multiplied by 2

Answer:

2y subtracted from 9

I hope this answer is correct.

Answer:

P(72 ≤ x ≤ 400) = 0.82. Correct: C.

Explanation:

Probability Distribution

In any probability distribution, the total probability of the sample space must be 1.

Since the sample space is given as a random variable x that takes values from 0 to 400, then:

P(0 ≤ x ≤ 400) = 1

For any value of x:

If the sample space is divided into two parts like:

P(0 ≤ x ≤ 72) and P(72 ≤ x ≤ 400), then the combined probability must be 1:

P(0 ≤ x ≤ 72) + P(72 ≤ x ≤ 400) = 1

Or, equivalently:

P(72 ≤ x ≤ 400) = 1 - P(0 ≤ x ≤ 72)

P(72 ≤ x ≤ 400) = 1 - 0.18

P(72 ≤ x ≤ 400) = 0.82

A. The value 0.92 is not correct since does not match with the value 0.82.

B. The value 0.18 is not correct since does not match with the value 0.82.

C. This is the correct value. Correct Choice

D. The value 0.982 is not correct since does not match with the value 0.82.

Answer: .82

Step-by-step explanation:

Took the test

Answer:

116 cm²

Step-by-step explanation:

area shaded = total area - area not shaded

πr² is the area of a circle

total area = πr² = π*(6.5cm)² = 132.732289614 cm²

area not shaded = πr² (note the radius is 2.3cm for the non-shaded portion) = π*(2.3cm)² = 16.6190251375 cm²

area shaded = total area - area not shaded = 132.732289614 cm² - 16.6190251375 cm² = 116.113264476 cm² ≈ 116 cm²

Answer:

99y[tex]d^{2}[/tex]

Step-by-step explanation:

Answer:

90yd²

Step-by-step explanation:

Area pf trapezium = 1/2 * (sum of parallel sides) * perdendicular distance b/w them.

Here,

Sum of II sides = 11 + 9yd = 20yd

Perpendicular distance = 18 yd

So, area of trapezium is

1/2 * 20yd * 18yd = 180yd²

As the triangle inscribed is right - angled triangle, area of ∆ = 1/2 * 10yd * 18yd = 90yd²

Shaded area = total area - area of ∆

= 180yd² - 90yd²

= 90yd²

Answer:

-7/16

Step-by-step explanation:

Answer:

12 inches wide.

Step-by-step explanation:

It is reduced to a 1:3 factor. where 1 is the new length and 3 is the old length. We can write a proportion [tex]1:3=4:x[/tex]. Now, if four numbers are in a proportion we can cross-multiply and we get [tex]1x=3\cdot 4 \rightarrow x = 12[/tex].

Answer:

c) 7

Step-by-step explanation:

328/50 + 6.6

you have to round up to fit all the bicycles

Answer: X=1 units

Y= 5 units

Z=3 units

Step-by-step explanation:

Answer:

X=1 units

Y= 5 units

Z=3 units

Step-by-step explanation:

9514 1404 393

Answer:

  89

Step-by-step explanation:

The arc intercepted by the inscribed 45° angle is twice that, 90°. The angle at x is half the sum of the intercepted arcs, so is ...

  x = (90° +88°)/2

  x = 89°

_____

Alternate solution

The inscribed angle intercepting the 88° arc will have half that measure, so is 44°. The triangle's exterior angle x will be equal to the sum of the remote interior angles:

  x = 45° +44° = 89°

Answer:

16.30

Step-by-step explanation:

It is 16.30 because 8.65+7.65 = 16.30

Answer:

2x+8/x^2-x-6

Step-by-step explanation:

=x^2+4x-1x-4

=(x-1)(x+4)

=x^2+2x+2x+4

=(x+2)(x+2)

=x^2-3x-1x+3

=(x-1)(x-3)

= (x-1)(x+4)/(x+2)(x+2) x 2x (x+2)/(x-1)(x-3)

= (x+4)(2)/(x+2)(x-3)

= 2x+8/x^2-x-6

Restrictions:

x cannot = -2, 1, 3,

Basically, just plug in the expressions into the formula and simplify:

[tex]A = \frac{1}{2}*(3ab)*(7a^2b+11a^2b) = \frac{3}{2}ab*(18a^2b) = 27a^3b^2[/tex]

Answer: Hey I don't think this is the correct answer, but I think it's 128

Step-by-step explanation: 128 is probably the answer I'm very sorry if it's not correct!

Answer:

(0,3)

Step-by-step explanation:

to find the y-intercept, you plug 0 into the x, so

y=.8(0)+3

y=0+3

y=3

Answer:

  2 right, 4 down, y-axis

Step-by-step explanation:

Reflection across the y-axis changes the left-right orientation. Reflection across the x-axis changes the up-down orientation. Translation before the reflection can put the figure in a place so that the reflection gives its final location. Translation does not affect the orientation.

__

We observe that the north-south wall is on the west side of the building at Site A, and on the right side at Site B. That means the orientation was changed left-to-right, so reflection was across the y-axis.

If the reflection occurred last, then the position before reflection must have the northeast corner moved from (-3, 5) to (-1, 1). That is, the x-coordinate is increased by 2, and the y-coordinate was decreased by 4.

The building at site A was translated 2 units right and 4 units down; then it was reflected across the y-axis .

An acute angle is less than 90° is shown in the second option. Hence, the second option is correct.

Acute angles are those that are smaller than 90° and fall between 0° and 90°; they are referred to as such. For example, temperatures of 60°, 30°, 45°, and others. An acute triangle is a triangle whose all internal angles are less than 90 degrees. An equilateral triangle is called an acute triangle if its internal angles measure 60°.

There are various types of angles, most commonly they are :

In the second option, the circle is void, which means the angle is less than 90°. As we compare this with the first option the circle is filled, which means that the angle is equal to 90° which means that it is a right angle.

So, this concludes that the second option is correct.

To get more information about acute angles:

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Answer:

I believe it is 136° hope it helps

Answer:

30°

Step-by-step explanation:

The bisected angle of 60° will have a measure equal to half of it, which is 30°.